A new feasible approach for diagnosing plasma density profile is given in this *** density profiles of some hohlraum targets are obtained by comparing theoretical and experimental results of the stimulated Raman scatt...
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A new feasible approach for diagnosing plasma density profile is given in this *** density profiles of some hohlraum targets are obtained by comparing theoretical and experimental results of the stimulated Raman scattering(SRS)*** theoretical model of SRS is three-wave coupling equations.
We use computational codes for simulating laser-produced plasmas conditions the excited level populations of the Li-like aluminium *** optimal gain region for 3d-4f transition is obtained and an approach for getting h...
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We use computational codes for simulating laser-produced plasmas conditions the excited level populations of the Li-like aluminium *** optimal gain region for 3d-4f transition is obtained and an approach for getting high gain length is suggested.
The gauge problem of Keldysh-Faisal-Reiss theories is *** is found that the E-gauge used by Keldysh is more reasonable than the A-gauge used by *** Keldysh theory is then developed *** differential ionization rate giv...
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The gauge problem of Keldysh-Faisal-Reiss theories is *** is found that the E-gauge used by Keldysh is more reasonable than the A-gauge used by *** Keldysh theory is then developed *** differential ionization rate gives more hot electrons than Reiss's and therefore better agrees the experimental *** another remarkable point is that the differential ionization rate as a function of energy is rapidly oscillatory.
The object of this work is to investigate the initial-boundary value problem for coupled Hirota equation on the *** show that the solution of the coupled Hirota equation can be expressed in terms of the solution of a ...
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The object of this work is to investigate the initial-boundary value problem for coupled Hirota equation on the *** show that the solution of the coupled Hirota equation can be expressed in terms of the solution of a 3×3 matrix Riemann-Hilbert problem formulated in the complex *** relevant jump matrices are explicitly given in terms of the matrix-valued spectral functions s(k)and S(k)that depend on the initial data and boundary values,***,applying nonlinear steepest descent techniques to the associated 3×3 matrix-valued Riemann-Hilbert problem,we can give the precise leading-order asymptotic formulas and uniform error estimates for the solution of the coupled Hirota equation.
The generalized finite difference method (GFDM) used for irregular grids is first introduced into the numerical study of thelevel set equation, which is coupled with the theory of detonation shock dynamics (DSD) descr...
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The generalized finite difference method (GFDM) used for irregular grids is first introduced into the numerical study of thelevel set equation, which is coupled with the theory of detonation shock dynamics (DSD) describing the propagation of thedetonation shock front. The numerical results of a rate-stick problem, a converging channel problem and an arc channel prob-lem for specified boundaries show that GFDM is effective on solving the level set equation in the irregular geometrical *** arrival time and the normal velocity distribution of the detonation shock front of these problems can then be obtainedconveniently with this method. The numerical results also confirm that when there is a curvature effect, the theory of DSDmust be considered for the propagation of detonation shock surface, while classic Huygens construction is not suitable anymore.
In this paper we study the Cauchy problem for a class of semi-linear parabolic type equations with weak data in the homogeneous spaces. We give a method which can be used to construct local mild solutions of the abstr...
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In this paper we study the Cauchy problem for a class of semi-linear parabolic type equations with weak data in the homogeneous spaces. We give a method which can be used to construct local mild solutions of the abstract Cauchy problem in? σ,s,p andL q([0, T);H s,p) by introducing the concept of both admissible quintuplet and compatible space and establishing time-space estimates for solutions to the linear parabolic type equations. For the small data, we prove that these results can be extended globally in time. We also study the regularity of the solution to the abstract Cauchy problem for nonlinear parabolic type equations in ?σ,s,p. As an application, we obtain the same result for Navier-Stokes equations with weak initial data in homogeneous Sobolev spaces.
In this paper, we study the Ginzburg-Landau equation μt =αou + αiμxx + α2|μ|2μ +α3|μ|μ +f. The existence of almost periodic solution of the equation is proved when f （t, x） is an almost periodic function a...
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In this paper, we study the Ginzburg-Landau equation μt =αou + αiμxx + α2|μ|2μ +α3|μ|μ +f. The existence of almost periodic solution of the equation is proved when f （t, x） is an almost periodic function about time t.
More work is done to study the explicit, weak and strong implicit difference solution for the first boundary problem of quasilinear parabolic system:where u, , and f are m-dimensional vector valued functions, A is an ...
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More work is done to study the explicit, weak and strong implicit difference solution for the first boundary problem of quasilinear parabolic system:where u, , and f are m-dimensional vector valued functions, A is an m × m positively definite matrix, and ut = For this problem, the convergence of iteration for the general difference schemes is proved.
Rigorous theories connecting physical properties of a heterogeneous material to its microstructure offer a promising avenue to guide the computational material design and optimization. The spectral density function χ...
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Rigorous theories connecting physical properties of a heterogeneous material to its microstructure offer a promising avenue to guide the computational material design and optimization. The spectral density function χ̃V(k), which can be obtained experimentally from scattering data, enables accurate determination of various transport and wave propagation characteristics, including the time-dependent diffusion spreadability S(t) and effective dynamic dielectric constant εe for electromagnetic wave propagation. Moreover, χ̃V(k) determines rigorous upper bounds on the fluid permeability K. Given the importance of χ̃V(k), we present here an efficient Fourier-space based computational framework to construct three-dimensional (3D) statistically isotropic two-phase heterogeneous materials corresponding to targeted spectral density functions. In particular, we employ a variety of analytical functional forms for χ̃V(k) that satisfy all known necessary conditions to construct disordered stealthy hyperuniform, standard hyperuniform, nonhyperuniform, and antihyperuniform two-phase heterogeneous material systems at varying phase volume fractions. We show that by tuning the correlations in the system across length scales via the targeted functions, one can generate a rich spectrum of distinct structures within each of the above classes of materials. Importantly, we present the first realization of antihyperuniform two-phase heterogeneous materials in 3D, which are characterized by autocovariance function χV(r) with a power-law tail, resulting in microstructures that contain clusters of dramatically different sizes and morphologies. We also determine the diffusion spreadability S(t) and estimate the fluid permeability K associated with all of the constructed materials directly from the corresponding spectral densities. Although it is well established that the long-time asymptotic scaling behavior of S(t) only depends on the functional form of χ̃V(k), with the stealthy hyperuniform a
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